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Finding the Fourth Proportional to 82,679.76, 113,929.20 and 78,213.69

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Solution

The fourth proportional to 82,679.76, 113,929.20 and 78,213.69 is: 107,775.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,679.76 : 113,929.20 = 78,213.69 : x
  2. Step 2: Convert to fraction form
    82,679.76/113,929.20 = 78,213.69/x
  3. Step 3: Cross multiply
    82,679.76x = 113,929.20 × 78,213.69
  4. Step 4: Simplify right side
    82,679.76x = 8,910,823,130.75
  5. Step 5: Solve for x
    x = 8,910,823,130.75/82,679.76
  6. Step 6: Final answer
    x = 107,775.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.